On a kinetic equation for the transport of particles in turbulent flows

摘要: The work described is part of a long‐term study in pursuit kinetic equation for particles suspended turbulent flow. This represents the transport average particle phase space density and can be used to derive continuum equations constitutive relations two‐fluid model dispersed flow establish correct form boundary conditions. A key role this played by state particles, which derived here Langevin motion with random driving force not limited white noise. suitable then sought that reproduces predicts Gaussian spatial diffusion limit coefficient homogeneous stationary turbulence. It shown both these requirements are automatically satisfied constructing forms preserve invariance Galilean transformation. most general an expansion successively higher‐order cumulants aerodynamic force. When process all terms apart from first term contract zero, i.e., current −[μ⋅(∂/∂v) +λ⋅(∂/∂x)]〈W〉 , where 〈W〉 velocity v position x at time t μ λ tensors whose components memory integrals involving correlation along trajectory. With more current, contracts classical Fokker–Planck noise limit. Finally examined important case point source diffusing unbounded